Go through the ten steps of analysis of variance hypothesis testing to see if you conclude that there is a difference among population means. Let the level of significance be .05 for each test. Use Turkey's HSD procedure to test for significant differences among individual pairs of means (if appropriate). Use the same level of significant value for the F test. Construct a dot plot and side-by-side boxplots of the data. 8.2.7. Thrombocytopaenia is a condition of abnormally low platelets that often occurs during necrotizingenterocolitis (NEC)-a serious illness in infants that can cause tissue damage to the intestines.Ragazzi et al. (A-8) investigated differences in the logio of platelet counts in 178 infants with NEC.Patients were grouped into four categories of NEC status. Group 0 referred to infants with nogangrene, group 1 referred to subjects in whom gangrene was limited to a single intestinal segment,group 2 referred to patients with two or more intestinal segments of gangrene, and group 3 referred topatients with the majority of small and large bowel involved. The following table gives the log10platelet counts for these subjects.Gangrene Grouping1231.972.332.482.452.601.771.681.381.872.370.852.602.231.862.261.901.751.791.882.511.461.531.361.832.432.572.301.712.332.381.992.471.321.512.482.311.321.922.061.082.662.152.082.491.652.122.112.511.791.042.362.491.412.541.991.582.371.812.032.212.062.412.171.731.521.991.832.592.452.182.551.912.512.231.962.232.532.521.801.572.381.612.292.001.982.271.932.292.442.581.862.542.741.932.811.002.582.332.232.782.002.421.752.171.812.842.342.510.792.162.722.272.551.382.362.081.812.461.382.442.431.981.571.902.521.891.742.282.352.261.661.602.511.762.332.631.792.052.081.772.031.872.302.341.831.082.511.721.361.891.672.402.292.572.481.752.671.772.382.301.401.69(Continued) Gangrene Grouping131.800.701.752.492.162.671.752.172.371.862.121.461.262.271.912.36

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Go through the ten steps of analysis of variance hypothesis testing to see if you conclude that there is a difference among population means. Let the level of significance be .05 for each test. Use Turkey's HSD procedure to test for significant differences among individual pairs of means (if appropriate). Use the same level of significant value for the F test. Construct a dot plot and side-by-side boxplots of the data.

8.2.7. Thrombocytopaenia is a condition of abnormally low platelets that often occurs during necrotizing
enterocolitis (NEC)-a serious illness in infants that can cause tissue damage to the intestines.
Ragazzi et al. (A-8) investigated differences in the logio of platelet counts in 178 infants with NEC.
Patients were grouped into four categories of NEC status. Group 0 referred to infants with no
gangrene, group 1 referred to subjects in whom gangrene was limited to a single intestinal segment,
group 2 referred to patients with two or more intestinal segments of gangrene, and group 3 referred to
patients with the majority of small and large bowel involved. The following table gives the log10
platelet counts for these subjects.
Gangrene Grouping
1
2
3
1.97
2.33
2.48
2.45
2.60
1.77
1.68
1.38
1.87
2.37
0.85
2.60
2.23
1.86
2.26
1.90
1.75
1.79
1.88
2.51
1.46
1.53
1.36
1.83
2.43
2.57
2.30
1.71
2.33
2.38
1.99
2.47
1.32
1.51
2.48
2.31
1.32
1.92
2.06
1.08
2.66
2.15
2.08
2.49
1.65
2.12
2.11
2.51
1.79
1.04
2.36
2.49
1.41
2.54
1.99
1.58
2.37
1.81
2.03
2.21
2.06
2.41
2.17
1.73
1.52
1.99
1.83
2.59
2.45
2.18
2.55
1.91
2.51
2.23
1.96
2.23
2.53
2.52
1.80
1.57
2.38
1.61
2.29
2.00
1.98
2.27
1.93
2.29
2.44
2.58
1.86
2.54
2.74
1.93
2.81
1.00
2.58
2.33
2.23
2.78
2.00
2.42
1.75
2.17
1.81
2.84
2.34
2.51
0.79
2.16
2.72
2.27
2.55
1.38
2.36
2.08
1.81
2.46
1.38
2.44
2.43
1.98
1.57
1.90
2.52
1.89
1.74
2.28
2.35
2.26
1.66
1.60
2.51
1.76
2.33
2.63
1.79
2.05
2.08
1.77
2.03
1.87
2.30
2.34
1.83
1.08
2.51
1.72
1.36
1.89
1.67
2.40
2.29
2.57
2.48
1.75
2.67
1.77
2.38
2.30
1.40
1.69
(Continued)

Gangrene Grouping
1
3
1.80
0.70
1.75
2.49
2.16
2.67
1.75
2.17
2.37
1.86
2.12
1.46
1.26
2.27
1.91
2.36

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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